After reading Gödel, Escher, Bach, one question stayed with me longer than the rest: where do good ideas come from?
If we read the book only as a cultural braid of Gödel’s theorem, Escher’s images, and Bach’s music, the central force gets scattered. My own takeaway is different. GEB is not just a book that stores knowledge. It shows how form creates meaning, and meaning returns to reshape form.
Prompts work the same way. A good prompt is not a clever sentence. It is a small formal system with inputs, rules, outputs, verification, and a next loop. So the idea generator I built from GEB is not a prompt that simply says “think creatively.” It is a device that turns a problem into a formal system, then makes that system look back at itself.
Cartesian prompts and GEB prompts
When I built a prompt from Descartes’s method, the starting point was clarity. Doubt, divide, move from simple to complex, and check for omissions. That method is powerful. It keeps a complex problem from collapsing into noise.
GEB adds a different movement.
Descartes asks how to order thought. GEB asks how an ordered thought returns and changes itself. A Cartesian prompt is close to a line. A GEB prompt is a loop. An answer becomes the next input. A failure becomes the next rule. When the interpreter changes, the meaning changes too.
| Lens | Cartesian question | GEB question |
|---|---|---|
| Starting point | What is clear? | What are the symbols and rules? |
| Division | How should this be divided? | What levels are involved? |
| Meaning | What is true? | In which relation does meaning arise? |
| Limit | What should be doubted? | What can this system not say from within? |
| Improvement | What should be reviewed? | How does the output become the next input? |
This difference matters because AI work is no longer just about getting one good answer. It is about building a harness that keeps answers improving.
Five prompt principles from GEB
1. Turn the problem into a formal system
Do not solve the problem immediately. First turn it into a small formal system.
- What are the symbols?
- What are the rules?
- What are the inputs and outputs?
- What is forbidden?
- What counts as verification?
In academy operations, this becomes concrete. A counseling workflow is not just a friendly conversation. It is a formal system of inputs, judgment criteria, guidance, and follow-up. A level test is not just intuition. It is a system of items, scores, error types, and placement rules.
2. Meaning arises from relations
The strongest insight I took from GEB is not a quotation, but a sense of structure. Meaning is not sealed inside a symbol. It arises from the relation among symbol, interpreter, and reality.
Prompts are the same. The same prompt changes meaning depending on who uses it, with which material, and for which decision. That is why a good prompt must include the audience, the use context, and the decision criteria.
A prompt for writing a blog post and a prompt for writing a parent counseling briefing may look similar. But they do different work. The first must hold a reader’s attention. The second must build trust and a basis for judgment.
3. Recursion turns small rules into systems
Recursion can sound abstract, but operationally it is simple. One output becomes the input for the next task.
A counseling briefing is generated. The counseling session happens. The result is recorded in the student’s profile. That record becomes the input for the next level test, feedback note, and re-enrollment message.
At that point, AI is no longer merely writing sentences. With the right design, it becomes a loop that updates the operating memory of the academy.
4. Self-reference needs an external harness
Self-reference is attractive. It sounds powerful when an AI evaluates its own output, edits its own prompt, and improves the next run. But GEB’s treatment of self-reference is not simple optimism. A system may speak about itself without being able to close over all of its own limits.
So AI automation needs an external harness.
- Where must a human make the final judgment?
- Which information must stay private?
- Which numbers must be checked?
- Which phrases could mislead parents?
- Which feedback could harm a student’s confidence?
These cannot be left entirely inside the prompt. They must be fixed as operating principles around the prompt.
5. Strange loops turn content into systems
A strange loop is not mere repetition. It is a hierarchy that bends back and changes itself.
For this blog, the loop looks like this.
- I read a book and take notes.
- The notes become insight cards.
- The insight cards become blog posts.
- The blog posts become prompts and skills.
- Those skills process the next book and the next post better.
At that point, a blog stops being an archive. It becomes a knowledge operating system. That is also the center of what I mean by LLM Wiki and harness engineering.
Executable prompt: GEB Strange Loop Idea Generator
The prompt below can be used for blog posts, lesson plans, app ideas, counseling automation, learning reports, and marketing copy.
1 | # GEB Strange Loop Idea Generator |
What changes when this is applied to academy operations
This prompt should not remain an abstract thinking exercise. It is especially useful in academy operations, where work repeats, human judgment matters, and trust with students and parents is central.
| Area | Casual AI use | GEB-style harness |
|---|---|---|
| Counseling | Write a counseling script | Design inputs, judgment criteria, and follow-up loops |
| Level testing | Generate questions | Connect error types, placement, and supplemental tasks |
| Feedback | Write comments | Link student state, goals, and next actions |
| Grade analysis | Summarize scores | Read risk signals and re-enrollment patterns |
| Marketing | Generate blog posts | Translate real academy work into the parent’s language |
My course AI-Powered Academy Operations, Lessons, and Counseling Automation applies this kind of thinking to practice. It covers branding, counseling briefings, level-test automation, AI feedback systems, test-prep packages, grade analysis, re-enrollment messages, marketing automation, lesson planning, annual operation calendars, AI capability diagnosis, and an integrated dashboard.
The point is not “use more AI.” The point is to turn repeated work into an operating loop. Even without coding or outsourcing, an academy owner should be able to see which parts of the academy already behave like a formal system.
Before looking at the course, one question is enough:
Which task in my academy repeats every week but has not yet become a formal system?
If an answer comes to mind, the first door to automation is already open.
Closing
A GEB-style prompt is not a device for producing many ideas. It is a device for making ideas that can improve themselves.
The Cartesian prompt cuts a problem clearly. The GEB prompt lets the pieces reflect one another. Form produces meaning, and meaning repairs form. As that loop deepens, a blog post becomes a knowledge node, a prompt becomes a harness, and academy operations become a living system.
I plan to keep refining prompts in this direction. A good question is not one that gives one answer and stops. A good question makes the next question more precise.
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